Answer: A. [tex]=105^{\circ}[/tex]
Step-by-step explanation:
Given: Circle with center O , having two congruent arcs as :-
[tex]\overarc{WX}\cong\overarc{YZ}\\\\\angle{XOW}=105^{\circ}[/tex]
We know that " If two arcs of a circle are congruent then their corresponding central angles are congruent".
[tex]\angle{XOW}\cong\angle{YOZ}\\\\\Rightarrow\ \angle{YOZ}=105^{\circ}[/tex]
Hence, the measure of [tex]\angle{YOZ}=105^{\circ}[/tex].
